WebbIf you know the arc length and the radius, then the angle that is subtended by the sector is θ = L / r. where L= arc length and r = radius. (Angle in radians, of course.) Thus, the area of … Webb15 sep. 2024 · As with arc length, we have to make sure that the angle is measured in radians or else the answer will be way off. So converting θ = 117 ∘ to radians and using r = 3.5 in Equation 4.3.1 for the area A of the sector, we get. θ = 117 ∘ = π 180 ⋅ 117 = 2.042 rad ⇒ A = 1 2 r2 θ = 1 2 (3.5)2 (2.042) = 12.51 m2 . For a sector whose angle ...
The Perimeter of the Sector Oab Shown in the Following Figure, is ...
WebbThe diagram below shows a circle centre O, with radius r. The length of arc ABC is 3π cm and AOˆC = . 9 2π (a) Find the value of r. (2) (b) Find the perimeter of sector OABC. (2) (c) Find the area of sector OABC. (2) (Total 6 marks) 7.) The following diagram shows a sector of a circle of radius r cm, and angle q at the centre. The Webb1! rad 4 cm 2 cm A D C B E The diagram shows triangle ABC in which AB is perpendicular to BC.The length of AB is 4cm and angleCAB is ! radians. ThearcDE withcentreA andradius2cmmeetsAC atD andAB atE.Find, in terms of !, (i) the area of the shaded region, [3] (ii) the perimeter of the shaded region. [3] 2 1 rad O A B X r cm 1 The diagram shows … a3 公開生稽古
Sector area - Circles, sectors and arcs - OCR - BBC Bitesize
WebbSolomon Press C2I page 2 1. A 9.2 cm O B Figure 1 Figure 1 shows the sector OAB of a circle of radius 9.2 cm and centre O. Given that the area of the sector is 37.4 cm2, find to 3 significant figures (a) the size of ∠AOB in radians, (2) (b) the perimeter of the sector.(2) 2. The first three terms of a geometric series are (p − 1), 2 and (2p + 5) respectively, WebbOther Math questions and answers. Question 3 The diagram shows a sector AOB of a circle, centre O, radius 4 cm. A tangent to the circle at A meets the line OB extended at C. Given that the area of the sector AOB is 10 cm", find 4 cm 0 B i) The angle AOB in radians. ii) The perimeter of the shaded region. (2 Marks) (4 Marks) WebbThe diagram above shows the sector OAB of a circle of radius r cm. The area of the sector is 15 ... (a) Prove that r = 2√5. (3) (b) Find, in cm, the perimeter of the sector OAB. (2) The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. (c) Calculate, to 3 decimal places, the area of R. (3) (Total 8 ... taukid adalah